Abstract
Starting from a general sequence of linear positive operators of discrete type we indicate a method to associate its an integral extension in Kantorovich sense. Numerous special cases are highlighted. Approximation properties of this extension are stated. Our goal is to show how such properties can be inherited from the discrete process to the integral construction.
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Agratini, O. Kantorovich sequences associated to general approximation processes. Positivity 19, 681–693 (2015). https://doi.org/10.1007/s11117-015-0322-z
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DOI: https://doi.org/10.1007/s11117-015-0322-z
Keywords
- Positive approximation process
- Bohman–Korovkin theorem
- Weighted approximation
- Modulus of continuity
- Statistical convergence